Multidimensional nonlinear integrable systems and methods for constructing their solutions

V. E. Zakharov; S. V. Manakov

doi:10.1007/BF02107232

Multidimensional nonlinear integrable systems and methods for constructing their solutions

V. E. Zakharov, S. V. Manakov

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

A new method for constructing multidimensional nonlinear integrable systems and their solutions by means of a nonlocal Riemann problem is presented. This is the natural generalization of the method of the local Riemann problem to the case of several space variables and includes the well-known Zakharov-Shabat method of dressing by Volterra operators.

Original language	English (US)
Pages (from-to)	3307-3316
Number of pages	10
Journal	Journal of Soviet Mathematics
Volume	31
Issue number	6
DOIs	https://doi.org/10.1007/BF02107232
State	Published - Dec 1985

ASJC Scopus subject areas

Statistics and Probability
General Mathematics
Applied Mathematics

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10.1007/BF02107232

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title = "Multidimensional nonlinear integrable systems and methods for constructing their solutions",

abstract = "A new method for constructing multidimensional nonlinear integrable systems and their solutions by means of a nonlocal Riemann problem is presented. This is the natural generalization of the method of the local Riemann problem to the case of several space variables and includes the well-known Zakharov-Shabat method of dressing by Volterra operators.",

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year = "1985",

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AU - Zakharov, V. E.

AU - Manakov, S. V.

PY - 1985/12

Y1 - 1985/12

N2 - A new method for constructing multidimensional nonlinear integrable systems and their solutions by means of a nonlocal Riemann problem is presented. This is the natural generalization of the method of the local Riemann problem to the case of several space variables and includes the well-known Zakharov-Shabat method of dressing by Volterra operators.

AB - A new method for constructing multidimensional nonlinear integrable systems and their solutions by means of a nonlocal Riemann problem is presented. This is the natural generalization of the method of the local Riemann problem to the case of several space variables and includes the well-known Zakharov-Shabat method of dressing by Volterra operators.

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DO - 10.1007/BF02107232

M3 - Article

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SP - 3307

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JO - Journal of Soviet Mathematics

JF - Journal of Soviet Mathematics

IS - 6

ER -

Multidimensional nonlinear integrable systems and methods for constructing their solutions

Abstract

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